The right ideology considers giving power to an elite (aristocrats,church,billionaires,officers, ethnic group).
The elite is a minority, and in order to rule a majority which is excluded form the decision making process it must use the military force.
Wherever you see a far right dictatorship you see the military.
The left consider including all to the decision making, but because divergent interests it lacks unity . The worker and the billionaire seldom have common interests.
Without unity a far left government cannot be effective so everybody must be kept in line, everybody must have the economic and intellectual level, everybody must believe the same thing. So for this you have the Commissariat for the Safety of the People (KGB), Popular army/People Liberation Army and Propaganda Bureau, who by force or propaganda repress dissent.
Here also the military forces are used for repressing population, but they are branded as "popular".
Because of the left thinking that man is born as a blank slate which later is written by environment, I think the far left tries to indoctrinate more than far right.
Far right think that some belong to an inferior race and they must be handled violently if they don't obey.
I think that a correct political system should allow minorities to exist and to have access to decision making, because every one is a minority.
Europe is a minority in the world,Romania is a minority within EU, Bucharest is minority within Romania, and so on.
Sometimes minorities have divergent interests, sometimes they don't.A good leadership search for common interests with the minorities that it is leading.